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Finding the Fourth Proportional to 365,023.50, 503,699.64 and 203,856.18

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Solution

The fourth proportional to 365,023.50, 503,699.64 and 203,856.18 is: 281,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,023.50 : 503,699.64 = 203,856.18 : x
  2. Step 2: Convert to fraction form
    365,023.50/503,699.64 = 203,856.18/x
  3. Step 3: Cross multiply
    365,023.50x = 503,699.64 × 203,856.18
  4. Step 4: Simplify right side
    365,023.50x = 102,682,284,477.78
  5. Step 5: Solve for x
    x = 102,682,284,477.78/365,023.50
  6. Step 6: Final answer
    x = 281,303.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.